is 2 4459369 - 1
has 1342404 decimal digits
takes 0.556 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L471E1E85A501FC77double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.663365.6716%1800000680000000.97788.2052%7.641168.4883%2.8167%
PrimeNet2610.068962.2951%180003600000.00662.9443%0.075563.4052%1.1101%
GPU722651.636064.6154%260005500000.00992.0877%1.645965.3541%0.7387%
Difference+2+5.0272+1.0563%+1774000+67450000+0.9679+6.1175%+5.9952+3.1342%+3.1342%

Known prime factors (1 factor, 102.6 bits, 0.00229981% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4459369746023027538820082959771440686331102.557836467028786830696181199
33 × 7 × 13 × 19 × 43 × 1451 × 6221 × 8689 × 5312809
2016-12-14868953128093.396e+100.05380.0978

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-11T00:00:00ANONYMOUSv4_computers20000145000---0.005--0.978%
2010-08-28T14:39:00markrtiny950002090000---0.037--2.974%
2016-12-14T11:10:36mikrMSI1800000680000001231102.5570.9781.1121.9568.205%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-06-15T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-12T09:48:00markroldgamer261262--0.069--
2012-02-03T03:49:00GrunwalderGIMPManual testing21263--0.358--
2016-02-23T16:38:51Mark RoseManual testing262263--0.220--
2014-09-17T20:21:00JayderManual testing263264--0.440--
2014-09-18T20:42:00monstManual testing264265--0.838--
2015-06-24T23:36:00snme2pm1Manual testing265266--1.676--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.660


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00Phillip Remakerv4_computers2AB2110A41B786__0.556
2000-01-25T00:00:00akohlerv4_computers471E1E85A501FC770.556
2001-04-21T00:00:00ANONYMOUSv4_computers471E1E85A501FC770.556


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-17T00:59:45kkmrkkblmbrbkc4.xlarge
7460230275388200829597714406863
AB3221ED4AFB62__no
2018-02-15T04:08:49Oliver KruseGTX-6
7460230275388200829597714406863
AB3221ED4AFB62__no


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 95000, B2 = 2090000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 20000, B2 = 145000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
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102
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108
TF factor-bounds graph:
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265
264
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261
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2100
2110
Last modified: 2018-02-15T04:08:49+00:00